Model of a plastically compressible material and its application to the analysis of the compaction of a porous body

This paper considers a model of a plastically compressible porous medium with a cylindrical‐type yield condition and its associated constitutive relations, which ensure independent mechanisms of shear and compaction of the porous material. This allows one to use the well‐known theorems of plastic theory to analyze plastically compressible media and obtain analytical solutions for a number of boundary‐value problems, including those taking into account conditions on strong‐discontinuity surfaces. Results from full‐scale studies of the structural periodicity of noncompact materials using wavelet analysis were employed to choose a physical model for a porous body and determine the properties and dimensions of a representative volume. The problem of extrusion of a porous material through a conical matrix was solved.